In(3x² – 2y + 4z³); x = t², y = t³ , z =t-l. Find the maximum derivative the function f(x, y) = x² – 3xy+ 4y² at p = (-2,0). Also Using the chain rule find , where w = dw dt find the unit vector in which direction the maximum derivative occurs.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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t², y = t³, z = t-1.
Find the maximum derivative the function f(x, y) = x² – 3xy + 4y? at p = (-2,0). Also
dw
Using the chain rule find , where w =
In(3x² – 2y + 4z³); x =
dt
find the unit vector in which direction the maximum derivative occurs.
Transcribed Image Text:t², y = t³, z = t-1. Find the maximum derivative the function f(x, y) = x² – 3xy + 4y? at p = (-2,0). Also dw Using the chain rule find , where w = In(3x² – 2y + 4z³); x = dt find the unit vector in which direction the maximum derivative occurs.
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